Finding the Third Proportional to 76.50 and 111.38

Step by Step Solution

1. Step 1: Write the proportion equation
   76.50 : 111.38 = 111.38 : x
2. Step 2: Convert to fraction form
   76.50/111.38 = 111.38/x
3. Step 3: Cross multiply
   76.50x = 111.38 × 111.38
4. Step 4: Simplify right side
   76.50x = 12,404.39
5. Step 5: Solve for x
   x = 12,404.39/76.50
6. Step 6: Final answer
   x = 162.15